Abstract and Applied Analysis
Volume 2004 (2004), Issue 7, Pages 591-602

Nonuniqueness theorem for a singular Cauchy-Nicoletti problem

Josef Kalas

Department of Mathematical Analysis, Masaryk University Brno, Janáčkovo nám. 2a, Brno 66295, Czech Republic

Received 20 September 2002

Copyright © 2004 Josef Kalas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The problem of nonuniqueness for a singular Cauchy-Nicoletti boundary value problem is studied. The general nonuniqueness theorem ensuring the existence of two different solutions is given such that the estimating expressions are nonlinear, in general, and depend on suitable Lyapunov functions. The applicability of results is illustrated by several examples.